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Displaying 21 – 35 of 35

Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid

Piotr Kacprzyk (2005)

Banach Center Publications

Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible fluid in a domain bounded by a free surface is proved. In the exterior domain we have an electromagnetic field which is generated by some currents located on a fixed boundary. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.

Global mild solutions of the micropolar fluid system in critical spaces

Fuyi Xu, Jia Yuan (2013)

Applicationes Mathematicae

We prove the global in time existence of a small solution for the 3D micropolar fluid system in critical Fourier-Herz spaces by using the Fourier localization method and Littlewood-Paley theory.

Global regularity for the 3D MHD system with damping

Zujin Zhang, Xian Yang (2016)

Colloquium Mathematicae

We study the Cauchy problem for the 3D MHD system with damping terms ${ε | u |}^{α - 1} u$ and ${δ | b |}^{β - 1} b$ (ε, δ > 0 and α, β ≥ 1), and show that the strong solution exists globally for any α, β > 3. This improves the previous results significantly.

Global solution of viscous compressible barotropic multipolar gas in a finite channel with nonzero input and output

Šárka Matušů-Nečasová (1992)

Applications of Mathematics

The paper contains the proof of global existence of weak solutions of the viscous compressible barotropic gas for the initial-boundary value problem in a finite channel.

Global solution to the ideal compressible heat conductive multipolar fluid

Jindřich Nečas, Antonín Novotný, Miroslav Šilhavý (1989)

Commentationes Mathematicae Universitatis Carolinae

Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output

Šárka Matušů-Nečasová (1991)

Applications of Mathematics

The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel.

Global solutions of the Cauchy problem for a viscous polytropic ideal gas

Song Jiang (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Global solutions to vortex density equations arising from sup-conductivity

Nader Masmoudi, Ping Zhang (2005)

Annales de l'I.H.P. Analyse non linéaire

Global strong solutions of a 2-D new magnetohydrodynamic system

Ruikuan Liu, Jiayan Yang (2020)

Applications of Mathematics

The main objective of this paper is to study the global strong solution of the parabolic-hyperbolic incompressible magnetohydrodynamic model in the two dimensional space. Based on Agmon, Douglis, and Nirenberg’s estimates for the stationary Stokes equation and Solonnikov’s theorem on $L^{p}$ - $L^{q}$ -estimates for the evolution Stokes equation, it is shown that this coupled magnetohydrodynamic equations possesses a global strong solution. In addition, the uniqueness of the global strong solution is obtained.

Global well-posedness for the 2-D Boussinesq system with temperature-dependent thermal diffusivity

Qionglei Chen, Liya Jiang (2014)

Colloquium Mathematicae

We prove the global well-posedness of the 2-D Boussinesq system with temperature dependent thermal diffusivity and zero viscosity coefficient.

Global well-posedness for the 2D quasi-geostrophic equation in a critical Besov space.

Stefanov, Atanas (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global well-posedness for the primitive equations with less regular initial data

Frédéric Charve (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in ${\dot{H}}^{\frac{1}{2}}$ given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter $ε$ is small enough, and for regular initial data (oscillating part in ${\dot{H}}^{\frac{1}{2}} \cap {\dot{H}}^{1}$ and quasigeostrophic part in $H^{1}$ ).

Global φ-attractor for a modified 3D Bénard system on channel-like domains

O.V. Kapustyan, A.V. Pankov (2014)

Nonautonomous Dynamical Systems

In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.

Green’s function pointwise estimates for the modified Lax–Friedrichs scheme

Pauline Godillon (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

The aim of this paper is to find estimates of the Green’s function of stationary discrete shock profiles and discrete boundary layers of the modified Lax–Friedrichs numerical scheme, by using techniques developed by Zumbrun and Howard [27] in the continuous viscous setting.

Green's function pointwise estimates for the modified Lax–Friedrichs scheme

Pauline Godillon (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

The aim of this paper is to find estimates of the Green's function of stationary discrete shock profiles and discrete boundary layers of the modified Lax–Friedrichs numerical scheme, by using techniques developed by Zumbrun and Howard [CITE] in the continuous viscous setting.

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